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Finding the Fourth Proportional to 508.56, 766.02 and 495.60

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Solution

The fourth proportional to 508.56, 766.02 and 495.60 is: 746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 766.02 = 495.60 : x
  2. Step 2: Convert to fraction form
    508.56/766.02 = 495.60/x
  3. Step 3: Cross multiply
    508.56x = 766.02 × 495.60
  4. Step 4: Simplify right side
    508.56x = 379,639.51
  5. Step 5: Solve for x
    x = 379,639.51/508.56
  6. Step 6: Final answer
    x = 746.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.